Studying What physics branches I need to solve the entropy and second law of thermodynamics problem ?

Whats the physics and maybe math knowledge I need to solve this problem ? Do I need classical physics , thermodynamics ? What else ? What's the physics branches and sub branches I need to know before I can solve this problem ?

What you need to do is to finish 11th grade, finish high school, finish college and finish grad school and then you will have started to have collected the tools you need to solve these kinds of problems.